Symmetric Skorohod topology on \(n\)-variable functions and hierarchical Markov properties of \(n\)-parameter processes

DOI10.1007/BF01199030zbMath0833.60074OpenAlexW2039923554MaRDI QIDQ1898689

Francis Hirsch, Shiqi Song

Publication date: 14 March 1996

Published in: Probability Theory and Related Fields (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01199030

zbMATH Keywords

additive functionalsSkorokhod topologyMarkov property

Mathematics Subject Classification ID

Continuous-time Markov processes on general state spaces (60J25) Probabilistic potential theory (60J45) Potentials and capacities on other spaces (31C15) Markov processes (60J99)

Related Items (max. 100)

Level sets of additive Lévy processes ⋮ Two-parameter Bessel processes ⋮ Moderate deviations and laws of the iterated logarithm for the local times of additive Lévy processes and additive random walks ⋮ Large deviations and laws of the iterated logarithm for the local times of additive stable processes ⋮ Harmonic analysis of additive Lévy processes ⋮ Markov properties of multiparameter processes and capacities ⋮ Measuring the range of an additive Lévy process ⋮ Intersections of Brownian motions ⋮ Lévy processes: capacity and Hausdorff dimension ⋮ Self-intersection local times of additive processes: large deviation and law of the iterated logarithm ⋮ Large deviations for Riesz potentials of additive processes ⋮ Local times of additive Lévy processes.

Cites Work

• Potential theory for a family of several Markov processes
• Capacity and energy for multiparameter Markov processes
• Additive functionals of several time-reversible Markov processes
• Harmonic functions associated with several Markov processes
• Gaussian capacities
• Two-parameter martingales and their quadratic variation
• Inequalities for Bochner's subordinates of two-parameter symmetric Markov processes
• Positive generalized Wiener functions and potential theory over abstract Wiener spaces
• Two-parameter Hunt processes and potential theory
• Potential theory related to some multiparameter processes
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